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Finding the Fourth Proportional to 4,220.87, 6,332.15 and 1,299.06

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Solution

The fourth proportional to 4,220.87, 6,332.15 and 1,299.06 is: 1,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.87 : 6,332.15 = 1,299.06 : x
  2. Step 2: Convert to fraction form
    4,220.87/6,332.15 = 1,299.06/x
  3. Step 3: Cross multiply
    4,220.87x = 6,332.15 × 1,299.06
  4. Step 4: Simplify right side
    4,220.87x = 8,225,842.78
  5. Step 5: Solve for x
    x = 8,225,842.78/4,220.87
  6. Step 6: Final answer
    x = 1,948.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.